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Finding the Fourth Proportional to 1,434.64, 1,979.64 and 805.12

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Solution

The fourth proportional to 1,434.64, 1,979.64 and 805.12 is: 1,110.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.64 : 1,979.64 = 805.12 : x
  2. Step 2: Convert to fraction form
    1,434.64/1,979.64 = 805.12/x
  3. Step 3: Cross multiply
    1,434.64x = 1,979.64 × 805.12
  4. Step 4: Simplify right side
    1,434.64x = 1,593,847.76
  5. Step 5: Solve for x
    x = 1,593,847.76/1,434.64
  6. Step 6: Final answer
    x = 1,110.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.